Invited Speaker - Tadahisa Funaki (Tokyo)

Title:

Scaling limits for weakly pinned random walks with two large deviation minimizers

Abstract:

The scaling limits for d-dimensional random walks perturbed by an attractive force toward the origin are studied under the critical situation that the rate functional of the corresponding large deviation principle admits two minimizers. Our results extend those obtained by Bolthausen, Funaki and Otobe (PTRF, 143, 2009) from the mean-zero Gaussian to non-Gaussian setting under the absence of the wall. This is a joint work with T. Otobe.